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1 декабря 2019 г. 5:38:50
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Find the exact length of the polar curve r = e^(2 theta) over [0, 2 pi].Find the exact length of the polar curve r = e^(2 theta) over [0, 2 pi].Find equation of tangent line to graph y = x^2 at (2, 4). GraphFind equation of tangent line to graph y = x^2 at (2, 4). GraphFind solution of differential equation dy/dx that satisfies initial condition y(0) = -3Find solution of differential equation dy/dx that satisfies initial condition y(0) = -3Find polar equation of curve that is represented by Cartesian equation 4y^2 =xFind polar equation of curve that is represented by Cartesian equation 4y^2 =xDetermine whether series converges or diverges e^n/(1 + e^(2n)). Use appropriate testDetermine whether series converges or diverges e^n/(1 + e^(2n)). Use appropriate testFind the second derivative of function y = cos^3 x.Find the second derivative of function y = cos^3 x.Label amplitude, phase shift, period for function y = 4 cos(x + pi/4).Label amplitude, phase shift, period for function y = 4 cos(x + pi/4).When tangent line at (m, n) on hyperbola x^2/4 -y^2 =1 passes through point (0, -2), find m times nWhen tangent line at (m, n) on hyperbola x^2/4 -y^2 =1 passes through point (0, -2), find m times nEvaluate definite integral ( sin sqrt(x))/(sqrt(x)) dx over [pi^2/9, pi^2/4] method of substitutionEvaluate definite integral ( sin sqrt(x))/(sqrt(x)) dx over [pi^2/9, pi^2/4] method of substitutionFind the indefinite integral for 3x^2 e^(2x) dx. Integration by PartsFind the indefinite integral for 3x^2 e^(2x) dx. Integration by PartsFind value of constants a and b of limit as x approaches 1 of (x^2 + ax +b)/(x-1) =5Find value of constants a and b of limit as x approaches 1 of (x^2 + ax +b)/(x-1) =5Find the coefficient of x^6 in the  Maclaurin series for f(x) = cosh (2x)Find the coefficient of x^6 in the Maclaurin series for f(x) = cosh (2x)Find Taylor polynomial of orders 0, 1, 2, 3 generated by f(x) = cos x at a = pi/4. Taylor seriesFind Taylor polynomial of orders 0, 1, 2, 3 generated by f(x) = cos x at a = pi/4. Taylor seriesSketch region in plane of points whose polar coordinates satisfies r in [-1, 1], theta [pi/4, 3pi/4]Sketch region in plane of points whose polar coordinates satisfies r in [-1, 1], theta [pi/4, 3pi/4]Use washer cross sections to find volume of solid revolving region about x axis, y = x+3, y = x^2 +1Use washer cross sections to find volume of solid revolving region about x axis, y = x+3, y = x^2 +1Find Antiderivative of integral (cos 4x cos 2x) dx using product to sum identity. IntegrateFind Antiderivative of integral (cos 4x cos 2x) dx using product to sum identity. IntegrateSolve for all values of x when 2 sin x +1 =0 over  [0, 360]Solve for all values of x when 2 sin x +1 =0 over [0, 360]Show that graph of r = 4 sin theta is a circle by converting from polar to rectangular equationShow that graph of r = 4 sin theta is a circle by converting from polar to rectangular equationConvert polar equation to rectangular equation r= 6/(2 - 3 sin x).Convert polar equation to rectangular equation r= 6/(2 - 3 sin x).Find remainder when polynomial is divided by (x-1)(x-2)(x-3). Remainder is 1 when divided by (x-1).Find remainder when polynomial is divided by (x-1)(x-2)(x-3). Remainder is 1 when divided by (x-1).Find all points of intersection of polar curves r = 1 + sin theta and r = 3 sin thetaFind all points of intersection of polar curves r = 1 + sin theta and r = 3 sin theta
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